what are the principles/techniques involved in double-indicator titration? especially in carbonate mixtures.

This subject is covered in all quant books very thoroughly. It would take me several pages to write about it. Why don't you tell us what you don't understand about it and let us go from there. For me to spend the morning typing something you already know is a time waster.

how do i make the calculations after the titration

Double-indicator titration is a technique used to determine the concentration of a specific substance in a mixture by employing two different indicators that are sensitive to pH changes. When it comes to carbonate mixtures, the following principles and techniques are commonly used:

1. Acid-Base Titration: Double-indicator titration typically utilizes an acid-base reaction as the basis for analysis. Carbonates react with acids to produce carbon dioxide gas, which can be measured to determine the concentration of the carbonate present.

2. Choice of Indicators: For carbonate mixtures, indicators that are sensitive to different pH ranges are selected. Typically, an acidic indicator and a basic indicator are chosen. Phenolphthalein is commonly used as the basic indicator, which changes color in the presence of a strong acid or a solution with a pH below 8.3. Methyl orange is often employed as the acidic indicator, changing color in the presence of a weak acid or a solution with a pH below 3.7.

3. Endpoint Detection: The addition of an indicator to the sample causes a color change at the endpoint of the titration. In double-indicator titration, two different color changes occur, providing a more accurate determination. The first color change corresponds to the reaction between the acid and the basic indicator, while the second color change represents the reaction between the acid and the acidic indicator.

4. Calculations: To determine the concentration of carbonate in the mixture, stoichiometric calculations are used. By determining the volume of acid required to reach both color changes and knowing the molar ratio between acid and carbonate, the concentration of carbonate can be calculated.

It is important to note that the specific indicators and procedures used in double-indicator titration may vary depending on the carbonate mixture being analyzed. It is recommended to consult a detailed procedure or scientific literature for specific instructions and guidance.